1. DynaMAT Materials from the Austrian team Andreas Ulovec Fakultät für Mathematik Universität Wien This project has been funded with support from the European Commission in its Lifelong Learning Programme (510028-LLP-1- 2010-1-IT-COMENIUS-CMP). This publication reflects the views only of the authors, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

2. Example: GeoCaching (1) What is GeoCaching? Why use it in teaching mathematics? How does GPS work? Some concrete tasks with finding GeoCaches

3. Example: GeoCaching (2) Possible explanation using a 2D-model

4. Example: GeoCaching (3) Explaining the limits of the model

5. Example: GeoCaching (4) Interpreting data of a GeoCaching trip

6. Example: GeoCaching (5) Now where is the Cache?

7. Example: GeoCaching (6) Can ask more questions: How much time did the trip take? What distance was covered? What was the average speed?

8. Example: Hiking in Tatras (1) That was our trip:

9. Example: Hiking in Tatras (2) What distance did we cover? 21.1 km How long did we need? Uphill: 4:05 hours Downhill: 3:28 hours What was our average speed? Uphill: 2.61 km/h Downhill: 3.03 km/h

10. Example: Hiking in Tatras (3) Altitude profile

11. Example: Hiking in Tatras (4) Distance-time diagram